feat(blog): add file-based blog with dynamic slugs, MDX content and layout shell

- Introduced blog routing using Next.js App Router
- Implemented dynamic [slug] pages for blog posts
- Added MDX-based content loading via lib/posts
- Integrated shared TopBar layout with navigation
- Established clear content, lib and component separation

apps/public-web/package.json

@@ -0,0 +1,27 @@
+{
+  "name": "public-web",
+  "private": true,
+  "version": "0.1.0",
+  "scripts": {
+    "dev": "next dev",
+    "build": "next build",
+    "start": "next start",
+    "lint": "next lint"
+  },
+  "dependencies": {
+    "gray-matter": "^4.0.3",
+    "next": "^16.1.4",
+    "react": "^19.2.3",
+    "react-dom": "^19.2.3"
+  },
+  "devDependencies": {
+    "@tailwindcss/postcss": "^4.1.18",
+    "@types/node": "^25.0.10",
+    "@types/react": "^19.2.9",
+    "@types/react-dom": "^19.2.3",
+    "autoprefixer": "^10.4.23",
+    "postcss": "^8.5.6",
+    "tailwindcss": "^4.1.18",
+    "typescript": "^5.9.3"
+  }
+}